The speed of light in air is 30 × 10 4 km / sec (approximately). How much distance will light travel in 1 minute?

Given, Speed of light = 30 × 10 4 km / sec = 300000 km / sec Time = 1 min = 60 sec As we know, Distance covered = Speed × time The distance travelled is the product of speed and time. Thus, 300000 × 60 = 18000000 km / sec Hence, the required answer is 1800 × 10 4 km / sec .

The speed of light in air is 30 × 10 4 km / sec (approximately). How much distance will light travel in 1 minute?

Given, Speed of light = 30 × 10 4 km / sec = 300000 km / sec Time = 1 min = 60 sec As we know, Distance covered = Speed × time The distance travelled is the product of speed and time. Thus, 300000 × 60 = 18000000 km / sec Hence, the required answer is 1800 × 10 4 km / sec .

Divide 13 . 31 × 10 10 by 1 . 21 × 10 15 and write in the standard form.

Given, Divide 13 . 31 × 10 10 by 1 . 21 × 10 15 = 13 . 31 × 10 10 1 . 21 × 10 15 = 11 10 15 - 10 = 11 10 5 = 0 . 0001 If a number is expressed as the product of a number between 1 and 10 and the integral power of 10 , it is said to be in standard form. A standard form is a method of expressing a mathematical notion, such as an equation, a number, or an expression, in a way that follows a set of rules. Standard form of 0 . 0001 = 1 . 1 × 10 - 4 Hence, the required answer is 1 . 1 × 10 - 4 .

Add 6 . 54 × 10 7 with 189 . 5 × 10 10 and write the answer in standard form.

Given, 6 . 54 × 10 7 + 189 . 5 × 10 10 = 6 . 54 × 10 7 + ( 189 . 5 × 10 3 ) × 10 7 = 6 . 54 × 10 7 + 1895 × 10 7 = ( 6 . 54 + 1895 ) × 10 7 = 19015400000 If a number is expressed as the product of a number between 1 and 10 and the integral power of 10 , it is said to be in standard form. A standard form is a method of expressing a mathematical notion, such as an equation, a number, or an expression, in a way that follows a set of rules. Standard form of 19015400000 = 1901 . 54 × 10 7 Hence, the required answer is 1901 . 54 × 10 7 .

State whether the following statements are true or false 1 6 6 ÷ 1 6 3 = 1 6 2 and justify the answer.

Given, 1 6 6 ÷ 1 6 3 = 1 6 2 1 6 1 6 3 6 = 4 . 6296 × 10 - 3 = 1 6 3 or a m ÷ a n = a m - n 1 6 6 - 3 = 1 6 3 1 6 3 ≠ 1 6 2 Hence, answer is not equal the statement is false.

E M B I B E

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 5

MEDIUM

8th CBSE

IMPORTANT

Earn 100

The speed of light in air is $30 \times 10^{4} km / \sec$ (approximately). How much distance will light travel in $1$ minute?

Important Questions on Exponents

MEDIUM

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 6

How many seconds are there in

1000

days. write the answer in standard form.

EASY

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 7

Divide

13.31 \times 10^{10} by 1.21 \times 10^{15}

and write in the standard form.

EASY

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 8

Add

6.54 \times 10^{7} with 189.5 \times 10^{10}

and write the answer in standard form.

EASY

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 9

Special balances can weigh something as small as

0.00000001 gram .

Express this number in the standard form.

EASY

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 10

A sugar factory has an annual sale of $3 billion 720 million$ kilograms of sugar. Express this number in the standard form.

HARD

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Exercise 4.2>Q 11

The number of red blood cells per cubic millimetre of blood is approximately

5.5 million .

If the average body contains

5 litres

of blood, what is the total number of red blood cells in the body? Write the answer in standard form.

(1 litre = 1, 00, 000 {mm}^{3})

.

MEDIUM

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>HOTS>Q 1

In ancient times, a farmer saved the life of a king's daughter. The king decided to reward the farmer with whatever he wished for. The farmer, who was a chess champion, made an unusual request:

"I would like you to place $1$ rupee on the first square of my chessboard, $2$ rupees on the second square, $4$ on the third square, $8$ on the fourth square, and so on, until you have covered all $64$ squares. Each square should have twice as many rupees as the previous square." The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn't agree.

How much money has the farmer earned?

HARD

8th CBSE

IMPORTANT

'I Did It' Mathematics>Chapter 4 - Exponents>Worksheet>Q 1

State whether the following statements are true or false